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818030304 = 253275132
BaseRepresentation
bin110000110000100…
…010011011100000
32010000021020121200
4300300202123200
53133403432204
6213101121200
726162100000
oct6060423340
92100236550
10818030304
1138a836303
121a9b59200
13100626900
147a900000
154bc39539
hex30c226e0

818030304 has 324 divisors, whose sum is σ = 2938788216. Its totient is φ = 215744256.

The previous prime is 818030303. The next prime is 818030363. The reversal of 818030304 is 403030818.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818030303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 62925402 + ... + 62925414.

It is an arithmetic number, because the mean of its divisors is an integer number (9070334).

Almost surely, 2818030304 is an apocalyptic number.

818030304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469394108).

818030304 is an abundant number, since it is smaller than the sum of its proper divisors (2120757912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

818030304 is an equidigital number, since it uses as much as digits as its factorization.

818030304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 818030304 is about 28601.2290645000. The cubic root of 818030304 is about 935.2401240150.

The spelling of 818030304 in words is "eight hundred eighteen million, thirty thousand, three hundred four".